SOLUTION: A movie theater has a seating capacity of 145. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children

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Question 1175290: A movie theater has a seating capacity of 145. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1040, How many children, students, and adults attended?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
half as many adults as there are children. 
Let x = Adults & 2x Children
  5(2x)  + 7(145-3x) + 12x = 1040
         x = 1040 - 7*145
          x = 25, the number of Adults, 50 children & 70 Students 

$5*50 + $7*70 + $12*25 = $1040  checks
Wish You the Best in your Studies.


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